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Finding the Fourth Proportional to 6,274.06, 8,658.06 and 3,441.40

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Solution

The fourth proportional to 6,274.06, 8,658.06 and 3,441.40 is: 4,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.06 : 8,658.06 = 3,441.40 : x
  2. Step 2: Convert to fraction form
    6,274.06/8,658.06 = 3,441.40/x
  3. Step 3: Cross multiply
    6,274.06x = 8,658.06 × 3,441.40
  4. Step 4: Simplify right side
    6,274.06x = 29,795,847.68
  5. Step 5: Solve for x
    x = 29,795,847.68/6,274.06
  6. Step 6: Final answer
    x = 4,749.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.